10280195880900 has 864 divisors, whose sum is σ = 36610232795136. Its totient is φ = 2203027200000.

The previous prime is 10280195880883. The next prime is 10280195880907. The reversal of 10280195880900 is 908859108201.

It is not an unprimeable number, because it can be changed into a prime (10280195880907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1123391325 + ... + 1123400475.

It is an arithmetic number, because the mean of its divisors is an integer number (42372954624).

Almost surely, 2^{10280195880900} is an apocalyptic number.

10280195880900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10280195880900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18305116397568).

10280195880900 is an abundant number, since it is smaller than the sum of its proper divisors (26330036914236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10280195880900 is a wasteful number, since it uses less digits than its factorization.

10280195880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9281 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

The spelling of 10280195880900 in words is "ten trillion, two hundred eighty billion, one hundred ninety-five million, eight hundred eighty thousand, nine hundred".